genus c | 51, orientable |
Schläfli formula c | {20,4} |
V / F / E c | 125 / 25 / 250 |
notes | ![]() |
vertex, face multiplicity c | 1, 5 |
50, each with 10 edges | |
rotational symmetry group | 500 elements. |
full symmetry group | 1000 elements. |
its presentation c | < r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (r‑1s)5, rsr‑3sr4 > |
C&D number c | R51.6′ |
The statistics marked c are from the published work of Professor Marston Conder. |
Its Petrie dual is
List of regular maps in orientable genus 51.
Orientable | |
Non-orientable |
Groups of order 4 6 8 9 10 12 14 15 16 18 20 21 22 24 25 27 28 30 48 60 120 168 336 360 720